{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# adaboost实践"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.ensemble import AdaBoostClassifier\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.datasets import make_gaussian_quantiles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 数据生成"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 用make_gaussian_quantiles生成多组多维正态分布的数据\n",
    "# 生成2维正态分布，设定样本数1000，协方差2\n",
    "x1, y1 = make_gaussian_quantiles(\n",
    "    cov=2., n_samples=200, n_features=2, n_classes=2, shuffle=True, random_state=1)\n",
    "# 为了增加样本分布的复杂度，再生成一个数据分布\n",
    "x2, y2 = make_gaussian_quantiles(mean=(\n",
    "    3, 3), cov=1.5, n_samples=300, n_features=2, n_classes=2, shuffle=True, random_state=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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99TxzTsyg5V1NMVw0U/C4vbz7zCySz6b4bR/XcyqLPloW9AVktpm4u99t+Z7FaOSN9grUuOoJiwrjqYmP8NTEos+Hds+zndi6Yiebl25HSgW9wYAtwsKIOQODHn/myFl+eHcR86cvDpqk6WIy0+yUrhwHqFkCR3ebxMbFf2eJvSXMTMdH2tH/3cfRG/S5ttX6vhtofd8NLP3qT2YO/pLkMylYIyx0e+lurOEWRnV5C51ex519OqLT6/hjzmq/AKIL6Ax61i3czG3/u1m9p6PnWLdoc/BjdYJberXT7NtFjCbcGho+zp04z9IvVpB8NpXrO1xL09sa5TlKNBgNvP7jEPZvSWDX2r3EVSxFs9uvCzChuBwuxvZ4h/WLNuN25j/Pi06v4+C2w5StWpptf+70E21Qo1iXfr6C+/p3yneAUMeebenQow0uhwuDycDgjq+zZ8P+rEXMhO2HWf/LFkpXLgWCgFG0AL/ZyskDpzGZjUGFu0bjajz/fp98369G/tCEW0MD2LhkK6O6TETxKridbhbOWErtpjV4c/GIkHbsnNRsXI2ajauF3D9z8Bds+HVLgUQbACk5uvsE3E2AaF9AUSSbftuWb+H2erxsXrad8yeTULwKezcd9PM8cWQ4WffLZl74oA8mizHAK8XrUWjRuUnW54q1ywd4twDojXrqttDycl8ONOHWKDF4PV4Sth/BZDVRqXb5AtmoHZlOkk4nU6p8LCazv93W6/EytscUPzc2R7qD3ev3s/iT5dzZ55Zc205LSmfZVys5tvckdZrXpO0DLTBZsu3eUkoWffR7UHHLC4PRQNX6ql95eEw4RrMhQPz1Rh1hUaEDhFwOF2ePJRJbNpqk0ym8eNNIMlPtKIoSNNQeQPF6STmbygMv3sW8iT+r7pF6HUh48eO+fp4qpcrFcPNDN7Ji7l9+Im+yGOn64t0FvmeNvNGEW6NEsH7RFsY/8i5upxtFUShdKY7XfxpCxWvK53qe1+tl5qAvWPDhbwidQAjBQ8O70H3IvVnCv2fjgUBXPNR8LEu/+DNX4T604ygD2ryC2+XGmelikdXIjMFf8M5fYyjnC6lXvEqhRBsgslQETW9XQ8TbP9SaL0bNDbxHt8KhHcdY+f06Wt7VJGuGIKXk67Hf882bP4AQKB4FS5iJtKSMoPlncmIwGogpE8X9AzrTsWdb1i7YhNFspHWXGyhVLibg+IEznqZc9bL8NO0XMlLsNGhdh76Tel/WDIX/ZURRZQoLRdOmTeXGjRsv6zU0rm5OJpzmyYYv+o2IhRDElI3m68Pv57oo98krs7Oqx1zAYjPT751H6fS4Gnq9d9MBXrp5FPZ0R8D59Vpewzurx4Rsv1+zIezffDAgLYlOr2PgrKe5rbe6gNe3yeCsNK35RegFXyVMJ75iXNa2v+Zv4M2HpyJ0AkWRODIcWKwGXA43ZpuVuIqlmPrXGMKjw1g48zfeH/BZQEBMfgiPDmP2sQ+x2Iq3tuV/GSHEJill02D7NP8cjSueRbOW4b0obF1KiSPdweal20KepygKP0z9JbB6TKaTr8d+n/W5ZuNq2ELkItmz8QBT+n4YNBVqRkoGB7ceCppRUPEqvNtvFod3HuX3r1f65eDODzq9JCIK9Ozxu3aru5sx7/QsXpn7IrWbhPH6Zwf5fvcmfj60jfcWb+GBJ9ax6MO3kFIye9wP+RZtnV6HNdyCJcxM6SpxTFw2stCi7XK6+em9RTzX6mVeaj+K5d+sLrJUshfY/3cCU56ewaguE1j86XJcQYKRrmY0U4nGFc/Z4+fxBDFlKFKSdDolyBkqLoc7ZLh30unkrN91Oh2v/zSYwR1fJzPN7mdG8Lq9LPtiJXVvuCbL/e0CJw6eDpnECdTsfW/2ejerFmRBULyCjFQvHw16jRffqwgxHyCEajc3W83Ub1mFwZNWEhPvRu/7Fpev6qJ81USc9tnIVEnymcDAnWCYLEYeGnYfLTo3RW/QUbVB5SwzktfjZeeavShehbotrwlYH7gYr8fL4A6vsf/vhKxnv2fDfrYs287AmU8X6BmEYvGny3n3mVm4XR4Ur8Km37bx07RFTF45GrP1vzFD0EbcGlc8TW9pFLTYgOLxBs2ot/WPHbzZayrje00lPCZ4QqOL80pf06QG7214U12AuwiHrzhvTtKTM5jc58Nc++31KBzYeqjAop19vo7Vi8LBtQqZ2Asps9vReX/HFuHNEm1Qsw8KARabAvYfaN/14mRWgaNeoROUr1mW+wd0psZ1VYktF4PDN0r/Z/VuupV7khF3jePVe8fTtczjrPtlc0AbOVm7YBMHth0O8FJZ9vVKju45nsuZ+cOe4eDdZz/CaXdlLao6Mpwc2X2CJZ/+ccntlxQ04da44mnbtQXla5b1C9m2hJnp2KttQJTgJ69+w4jO41j21UpW/bAee7oDXY7UokKo4ddPvRUYjKMmggo+Cc1My66A8+e3a+heoQ/7Nh3Mtd9GixGT2Ygt3Et8BRdCBAqn3qCjxkWZ//z3+87x/I1MHpS13WQ4jjUst+RQDnoNjcpRGUeiemD7I4TCu2uHcXb/V8wbfRcTenTn/rj/8XLnsQzrNIbUxDQyU+1ZP6O7vs2546ELIWxc/DeOIGsFQsC2FTtz6W/+2L1uX9ACDc5MJyvmrbnk9ksKmqlE44rHaDLyzDuPMa3/R5zYf4rwmDAeGtaFu/vd5nfc6cNn+fat+X4eHG6HG5PFSPma5Ug7n0aNRlXp/fqDXNOkRsB1KtQqhzXcEjBCNpgMtLn/BkA1sYzvPS2PqEdJi1sd1LzOSK36+7i+bQqKFxyZOt4dVoFVC2NAQKN29Xlu+pOUrRrPkw0HcuLAaf/7Nit0fOB8Vps4lyO9pxH6Mkh9TcAEhOqHnlLlyzD5zyeZ/NSH7N9yABlE53U6iSHlNmLDM7n3UYU7eug4ccjE4AfcODMDF33dTjcLZy7l4VceYNmXK1n86XIAbn+0Pe17tia2XDRGkwG36yKXRb0+aF73gmKLsIb0iMnNJfJqQxNujSueld+vY3yvqbgcbqSUeL1ePhs5h5Z3NaF05fis4zYv3RbU1OFyuGnQujbPTw+M4EvYfphPR85h5197MJgMVKlXiYyUTLxeBa/bi8VmJrpMFA8Ovlfty3frgoxbs9HpBTfdk8yLU06jN7hBerngbm6xeRn0zlFSk208+8E0qtXProQzeeVoXmjzCsmnT+F1S3R6SdU6DnoPziHmwgTe46AvA47fECK3BTkvZEynRoVPmfRLD/q328PR/Xq8nuznozcotOqUAjIdW7i6zWBUqFzTSc8BJ5nxWoWAVhVF8v2UhezffJC/l+/Iesnt3XiA1T+tp++k/zFnwk8B7xODyUDzO67Ppb/545qmNYgsFYEjw+G3KGyxmQNe5FczmnBrXNEoisLUfjP9CgZ4XF4yUjL5bORcBn3yDJt+28rcifM5susYHldgZKLeoCc8Jjxg+56NB3ix3at+bZ87dh69UU/DNnWxRVq5vuO1XN+hIelJGYRHh+G0u/CGyF+tN+ho3iGd5yccwXDBxHGRypsskpdnmoiuMA/l3B8gYkFfnmj9Bj7608vmVQ04uX8L1epl0KB5Bn4xRtIFhqpI915wLiV4SsGsg33/ZGLyfsmwWY0Z2SOJlEQDTocOs0UhOt7DM2+c4OKofpNF0v7+pKDCDeqLcNNv2/3SyjoynGxaspXEE+d5dd5LjHv4HRSPgiIlkaXCGf3T0DwXNvODEIKxi15m8C2vk5maiRACj8vDg0PuocktjS65/aLg8K5jzB73A/s2HaRaw0o8NKxLwJrKpXJJwi2EGADcKaXsWET90dDw48yRc0ErrF/wJljw4RI+eDEweX9O9EY9tz7SLmD7jEGfB1SQAdWTZMdfe5i84nUmP/UhM176HKETxJSO4rGxPYKO6o1mA6PmdqZp87eD1pq8gE4H0dE7IGM3WcNSn/7pBTRrcxraBAuLt4D1foQuFulYRO6ifTEOqlZfx8erBOuWhnFkn4XKtRzc0DETvSF4CP7FswohJLWutWMwSvb8bcPjCZx3uBxu/l6+gx7DuzDv1Cz2bU7AaDZQo1HVAmdilFKSmpiGNcIaIPiV61Tgq0PT+WflblLPp9OgdR1iSkcVqP3LxZ4N+3mp/aisiNSje46zdsFmxv4yPGhR5cJSaOEWQlQB/gcElhHR0CgiwqPDQlZoEQKmPfdx0KhHg1GPyWrC6/by/Ad9qFQ7cPSY2+KiXq9jyK2j/dwDTx06y+Q+H3Lnkx35ZdYytTCAlJitcPv/atO0Yxzk6YF3IWtTKNt0iFwmYU8jwn3udLo4EAaQBfFWUdAboNXtqbS63ddJcydQjiPd2xE5XgQup+CPn7Ir7tRsmMlrnyVgC1eQEqQimNC/CuuW+hdoMJmNRMWp2wxGA3VvKFyekj+/XcN7z39C2vk0hBDc9lh7+k7q7VeMQq/X0+im+oVq/3Iy/YVP/NZIpCJxZjp599lZzNw2qciucykj7neAYUDw/JUaGkVAeHQYzTtdz/pfNgcseCWfTQ0q2gDRpaPo/94TXHdzA2wR1hDHRAaNlgS10ouieAIWwrweL3EVbIz/NpPf5yUhpeSexxKpVHM7pC0BGbw9lQsj9fyXClOxIQzlEcJ3vvkm4FLNDjoQAhH1NiQ+iKLY0Qk79nQdZ04Y+Xyi6q1jsii8OecgEdH+z3n4Bwk83qYO505me/oInaBdt1aX1KutK3Ywofc0v5nQkk+W43K4eGlWv0tq+99g78bgg4HDO47i9XrR63NPvZtfCuUOKIToAWwFgvr3CCH6CCE2CiE2nj2rDcg1Lo1Bnz5Dw3b1MFlMhEXZEEIgBEHt2ReoeE05Wt3dLKRoA3Qfeh/GEHZXKZWgJg+Xw83p3Z9Q97p/eGbMcZ4de4JKNZ2AAsq53G/E0IDCjZXsyLS3UNJnIKUDIcwQ8yGI6LxPDYkC7h0IQxVE6eXoo0dC2DPYKr7LNzMfw+NWn1vLW1PQ6wOfg04HHR5IyvqsN+gZ+kV/wqMLVgjY6/H6RVV+9cZ3AeYrp93F8q9XkZ6cUaC2i4PwmOCeLZYwS5EWkihsS52BDsA3QBMhxLM5d0opZ0gpm0opm8bHxwdtQEMjv4RF2hi/+BU+2jmZ134cjNCJ3MzImG1mug26J892Oz3egZ4vd0FvzB4F6Y16LGFm+k7+HyLIF80S5qVhi9B+zCFNHRjAs5PQJpLckKCcgfRpyHM9UNI/gvM9QCbnfWpIBBhUU4YQVoS1C7qI5xGWWxj0cX/uH9iZiNhwouMkBlOgfdpkkX5/A6/Hyxvdp/BZkCRYF5OenMGa+Rvo0+hFOpm7c3fkI8wc/AUet4cTB04FPUdv1HP+VDIJ2w/zw9RfWPrlnwFrH8u/WU2fRi/yQOnHeOWe8RzacbQAz6No6PLCnTl851XMVrUCUFFUXLrAJSWZEkJUBWbltjipJZnSKEo8bg+dwx7G6wluIrGEW3hiXA/ueaZTvtpbu2ATbz0+nczUTLweLxWvKc/on4dRvnoZXr13PJuXbsuKAjSZFSpUdzLt170YLt1BImevgdxMLDkxAF4KtjgZpBoCOkSpbxHGBrmeKT37kee6BPQvPVXHQ43q43L6v9wsYWZGfT8oqIfH+VNJjH9kGlv/2BHw9zNbTbR5oAVup4c/v10TYKKyhJlp3eUGVn67Vq3nadQjdII3F79C3RtqMe/t+Xw2cm7WIrUQ6ih32vo3qVwnuHfM5UBRFKa/8AmLZi3DYDLgcXm4uUdrXni/T77yuucktyRTmnBrlDhG3DWOjYv/9ssTYjAZaHl3U4Z89my+81Uk/HOE/i2G+YVn6416qtavxAebJ+L1eJk/fREL35+Jx61w0z3JdO13No+IxYJigYghkPYGqiAXNRdmExe3bUSU+hFhzHsBUUkZDvYFXBBve6bgtzkxvPdyRYJFY954X3NGfTfIb5uUksfrD+DE/lMhX7pGs4Fy1ctwZJd/aLwlzEzLu5uyZv7GgOCo6NJRfH5gGt3KPRkQsanTCdp2bcnLswfkeY9FTVpSOicOnKZctdJ+ucsLwmXLDiilPKS5Amr82wyY8TRxFUthjbBiMOqxhluoXKcCL858un5sRvsAACAASURBVEBJhn6Y+ktAUQKv28vxfSc5sPUQeoOee59pzozlB/l41R4eGXQ6n6JdkCmxA9KncHlE2wCYg7ctzOA9jJQS6dqMTH8fmfkNUglM2iUix6ieLIDbBV+9XYaPxobOg37uWGJANsB/Vu3m3LHEkKINaiHio3tO+F9bwEPDu5CamB4054vT7mTNzxuDPnFFkexcuzfk9S4nETHh1PYFC10OtACcKxDp2oi0fwvSibDcCeb22R4F/0FSE9PQG3SERakLX6XKxTDy25dY/eMGhA7qt6rD9R0bFnjx51TCmaCuhnqDnnPHz6tBE7poCibEAFFAAezPMnSGw8IjwHQDGGpD5pcE2NalG6mvAcnPgnMV4ATMkPYmxMxEmJplH+vZC4pq1zeaoPeQ01Sp42Dyi5XwBvHn3rc5gS5xjzJw5tO06dICUNMR5EWwUHah03HuaGjBF0IQHmULmj0SoHz1snletySiCfcVhpI2FTI+Qp2WSqRjOZhbQfR7Rbq4URLYvyWB8Y+8y7F9JwFocGMd+k75H289Op2je46j0+txO93c3c9Bk1uuzVebyWdT2L5yN2FRNq5tV4/tK3cFeKe4HG6uaVIdACFMSFt3yPyG/NmhBZBWgLvMT3sGEEYQESDCwHuYvEfoJkTY42Co4xsEeMh2QzSDuR3CsxXpXEn2fdlBgkzqD6VXI4TPzKKc8fmNqx+NJsktXZMRwNShVXA5hZ/oKl6F9KQMXn/gbW7u0Zqhn/enVpPqISNOQTWTKIoMcO9UvAqnDp3hll7t2L1uX8CoW6fT0bhDQ27u7iudlsMjxWwz0ePlLnk8p5LJf3cYdwUivcchYyZgJ3sxKRNcf6k//yGSz6bw4s0jObTjKB6XB4/Lw7Y/d9L/hmEc3H4YR4aTzNRMX2Hf31j65Z95tjlnwo/0rNKXtx59j1H3TuCL1+YFiLbZZuKup28hpky2q52IGAy2h1AXEUO9PAXZi4BFaPaw9kHE/aIuJMb/iSj1NZiao/px5+YT7ESmvwMyHVHqOzDfDMKqhtiHPYGInoRMn0Hwl5ET3P9kfzTWV8PtL6JjVzvv/N6c6tdWCdmLVd+tZcXcNVSpW5HmnRpjtmX7fV94lFHxkXR5oXPI9dbSVeLp0LMNDdvUzUrvazQbMVtNDP/6eYwmI89/0IcOD7fFZDFishiJLh3FwJlP07h9w1yeUclFK112BSEz5yJTx6AK90VYe6KLGvmv96m4mDPxRz4fNS+PLHzZ1Gxcjfc3TQi5f9ufOxl+x9hcQ+OFTtD5qXY8Oz4cXH+AvgzC9nCW54XiPQ1n25MVo+6HDXVEG0wIjSHOyQsjImIwIqx3wB7FcwpcmyFtPMiTIc7XASYw1kPEvI/QZdeKlEo68kwTgqulBRH7BcKU7RmipE4E+5cgL/zfNKgzgKgJTHh8Pctmrw95F43bN2DC0pF4PV6+m7KQBR8swZnppNW9zej92oNEx6vh6t0r9iHxRFLA+eWql+bz/e+hKApblm1n02/biIqPpEPPNsSVj/U71ml3kpGSSXTpqCL1my4Ocluc1EwlVxLCBkIX5LtkAN3lWeS4Ujm292S+RRsgPSn34IyfP1iCy557iLhUJLv/WgrpB1AFWCDtC5GRb6Cz3YNAjww14hZhoW3VuiifjbiAgyRh9NnYc/YxDZk2CezfXtiSSwO+F4l7GzJ5ICL2k+x20qbmcq4CF7kJioiXwFgPmfkpeM+CTFejRFMGULNOGMv1ZVC8wZ/NhVzmeoOebi/dTbeXgld+D/U3PHnwDJ+88g0Pv3I/TW5plGsyKbPV/J+oglOyX0lXG+abCf5l0iOs9/7bvSlW6reqE7TqTTAMRj0t7mqS6zHpyRm5Bu1cICM156hZAk5IHYLiPY/Qx4E+mFnABLZ7wFCHwK+UFcy3oZpZCoj0gjnbaUu6dyDPtgH7V2q/cJK/gB4PuDYgvWpkp5ResM8JfbixebZ924cQAmG9ExHrO0+modrE0zl3XBdStAEObjvMjr/2+K4t2bVuH5+NnMOcCT9x5kj2omWoakUA3749n9Hdii7XR0lHE+4rCKELQ8TMABGe/YMZIkchDNWLu3v/Kjd3b0V06SgMOaIazVYTNa6ritlmzsrQZ7KaiCgVQfchub/Y2j7QEpMl96gZg0nS8tbAqTookDoMABH9tmoiuCDEwgaGKoiwfoiYqaAvr46+hQ3VTNHAt5iYG6FET6eOulEFTyY/BzJU0eE8vsrCgHQuRWbMQiYPJag57gKe7SiZ84Pvc2/yzSyy34J1m2ZiCQtt13c7PUzu8wFSSiY9+QGDOrzGV298x6evfsOjdV9gwYzfGHLraM6fCu2J43K42fzbNg7vOpb7ff5H0EwlVxjC1BxKr1UXI6UTTK0Q/zEzCahT3mnrxvH5qLms/G4tRrORTo+3p9vgezm+9wTfv/ML+zYf5OyxRFLOpNK7Vn9uf7w9fSY+EpAGVErJrjV7A5JU+fYCAr1eIba0m0eHBQ+5xrkKKSXCWAfilyPt88F7FGFqDOYOCGEEwiFuKbjWgXIG6fgdXCtyiK2ewIXLYFGNF3bpwHMAaaiO9BxVTRQhycO/XDog9U0kziB9uPjYFEgdgYIX3BvAsUrtpr6S+nNRd1velkLZSmU4nmDFHcIadWzfSVb/sJ4/5qzOWme4sDA8te9MhF6ErGxzAZ1Bz8Gth6lSt2LQ/b99sYLPRs7h3LHzlK9ZhifH96LlXUFNxCUebXFSo0iR0gPO35COpSCiEbauqthdfJySBM7VqpuZqQ1CV7DkRPv/TuCF1iP8oh5NVhOt72vOsC+f9zt2+8pdDL9jTK5Fe/UGhVl/7qZ81VCLiAJRZlee/vTScxRpnwvuPeBaRejcJfnBCIZrwLP7QusUPLMgZHu8FPRcfZBrGgh2T5npNr75sDPzpuwL6htvMBlo17Uly75aWcA+ZGMJMzNx2UjqNA+M9vxl1lKmv/Cp3+Kz2WrilbkDueHO3M1oVyra4qTGv4KUbuT5/4Fnh2+UqUPa5yEjX0VneyDrOCVzLqSOVkVb3QLR7yLMbfN9rW/e/NGvtiSAy+5i1ffrSDqd7OfO9+e3a3L1JgFQvAKPOxdR1l+Tt2g7VyOT+qF6kFyKYF/ArT7LS0KHKsCF8WoJNjK/cF86sgXdgi26Ivf270LVGs9xbYvzpCUZ+H5GHEvmxGI0GWl5TzOMJgNC5FpnIiRCqDm+Tx48Q63rq6M3ZJvQpJR8MuKbgL+x0+5i1rCvSqxw54Zm49YoOhwLVf/fLNOAb6Ev9TWkkg6A9CSooo0TZIbvx45M6o9U8qxCkMWRnceCTq0NJgOnDp0N2JZX8JKUAm9uFgTpREl6BulYHhDOrZ6vIFMGodqOi0K0c8NE1ihaRIDxRkLn5zZevv6Y2oGxMUQMhOj3MdkfoW3nM8SV9VCtroN+bxznyVdOUrZ6GQbOeIqOj7QLyJwXsmmLkdhyMVl/N4m6wDzpyfcZ1OE1PO7se3I5XKQmBg96OrE/hOmrhKMJt0aRIe2/EHTRSxjBvdF3zHyCj+SEr45i/qjdrEbQEmJup4cKtfzDnDv0bBMy7/YFLDYvJnMupgTlkGoCSn4emTo6cL/3YC4Lh0WNAcL6IWK/RJTeiIh5G3SlCO654qTAboj5wogudia6UnPQhf2PtBMfY7K4MeSYw1vDJHc/eo6KtSyERYXRqF19Oj99KyaLEaPZgNlmxmw10bBtPb/AHL1RT2SpCN5dOxaj2deg7xYcGU72bT7IH3OyA9JMFlNIj5QyVUsX+Z1fCVyRwi2lF+lYjpL2NjLzq6CJb/4rSOlASR2LcroJyqkGKOefQnqOFE3bzrUo57qgnLoW5eytKPYFl9ZgSDu19HlZ4BO3YMKt5FE9xp8Hh96H2Wry22a2men81C1Exvov5ta8rhq9RnbFZFGj7S6IuE4PCInFptCqU2ou9u2cOMD+NYp7l/9mYfWFlYdCAHow36EeS+gCD3nj8hVt0CNlCjJ9FijpqCL9L6H3T5VqkJswmYMUnnAKoqKzR71PTXyE6Zsm8PjYnvSd1JuvDr/PxGWv8ugbD1GhVlliy8VwxxMdmL5pAgnbDmMwBVpzHRlOVszNFm4hBL1e7RqYB9tm4rExD13qnV6RXHE2bikdyPMPg2c/yEwkFkh7G2I/zzN38NWITHpKjZC78KV0rUAmboH4xX6RcAVu17UemdSHLJ9l7yFIGY4iM9DZHixUm8LaHen8PUd03YUdFjA28f3aEWn/JvAYJJjyb+OuWKsck1eO5sOXPmfnmj1ExITzwMDO3Pf8nUGPf3Dwvdzc/UbWLdyM0WKiRqMqrF+0mcyUU9zQ8Tz1bzAiPHvBvTofV1cgdRSUyvaFlq7NhLYj5wiFdy2HsAEIQ2VkxqfgXpvve87GA/a5SMdC34tQcHmyC+aC1z/1qjmiFt7M3egvUhSjSVLj+hZ+26rUrRjgGXL/C525/4XOftssYZag9nAhwBbpX2nmnmduR6fX8eXr80g6nULpSnE8Pr4nre+7Id+35Ha5WThjKUs+XQ5C0Omx9nR6okOB82j/G1xxXiVK+nRIf5+A0YO+MiLut/9UoiXp3o1M7EZgGLUFwp9FF96n0G0riV3BvTVwh4hBlF5T6GyE6t9vOmD0uScbEbGfIoxqhWspJTJlKDh+RTWr+MKyw/ugC382ZLv/BtK5Dpn0OPkLajFA3K+QPhUcf6Amlsrvd8kM0e9Bcn9y9ae+whFldmf9P5HunXjOdEOvz352LqfgwI5oKjRbwryJ81kw4zccGU7qtbyG/tOeyDXHCahVdbpXfIrkM/4zbrPNzLhFL9OwTd2g5ymKUuBwdyklgzu+zq51e7M8lcw2M9e2rceYhcOKRXcuWz7uy4J9PkGnfN4z4P33SxEVK579IIIlEnKAe/sltn0g+HaZ7ouKKxy68H6I+OWIqNGI6MmI0quzRBt8EXhRbyJipoO1K1i7I2K/uGTRlkoqUrk0G7NbuY6E/S1xOfUoCihKbl8PBRK7qguypFIwO7ITkp+jJIs2It7v5S6M9TCUehePNxa324DHrSPxXH2qt/mZqf1m8uN7v5KZakfxKvyzajcvtB6RZ6pXvUHPuEUvExkXgS3SijXCislipOeI+0OKNlCoHCVbfv+HPRv2+7mXOjOdbF+5kx2rd+dyZvFw5c0BQr5LZAgRK1lIKcG1Hulai9DFgrVzaJOHoRrBfW/NEMQ3ukDoK4BnT+B2YfJFbBYeoY8Ha+fQ+4UA840I842XdB3whYGnDPW9iATS1Ep9MehLFagdt8vNgHYjObzTTvkqNWjWIRWvx0S9ZjpadzoU5CbCc7HX54d/ayHzcmCEiMEBW4XlZozl/wLlFIhwKlSK5PThs6xbuDnAddPt9PD9OwvpO+l/uV6pZuNqzDk+gy2//0NmSibX3lSfmNJRRXkzAOxYtRt7RuAai9vp5p9Vu2nQOvSLoji48oTb+oCvIkjOhyhAXwmh//dqx10OpPQgk55WPSwu2O/T3w5MXO9DGOsjDbXBnbPIrABhQlgLZ4fOajv8eWTyQPyfsxXCngzIU3GlIr1n1fUQmSM5kWs1SmIv/lo1kiWfLcfrUbilVzvadm2BXh/6vlbMXcORXcdwZjpJ2GUlYZe6eDj/EwOfrU2kVJkM1JeoACxqzhLPJc56ioVcIjXz3UQphOWm4LuETg3793Fk93GMZmOAcHvcHvZtOpivyxmMBprddl2hu5sfostEYbaaA3zBjWYj0WWiQ5xVfFxxphIR9jCYmvi8EAy+vA/Rah6Iko79B3BtyOE25lAFPKm/mvgnCCLmY9/o1QTowNgEEfuNmvAoD6RUCzEo559ASeyBkvElUvqKqVo6QuRo0JUG9Ko/cHhfRFjfIrnVfwNpnxfEk8PDpOc9TOj9Dmt/3sSGRVt4+4np9GsyhBmDv+CvnzYEraaydsGmoJGVRpORf3aMBGs3NYmU+XZEqdlgasbl//rk165q9v3khQH011xCf3zIc8jU1/N1aKXa5XE7AxdtDUY9NRtXu/S+FBE3PdgKnT7weesNeto+0CLIGcXLlSfcwoSI+RgR8xEi4kVE5GhE6RUIQ83i7tolI+3fE9yu6QTPzqDnCF04uqg3EWW2I8rsQFfq63wVeAWQaW8hk18A15/qKD9tIjKxB9KXFF9nuwcRvxJRZjOi9AZ04U/nHaiiZCCV3FOo/mt4DnDxesiBfyysmB+BIyNbLJyZLg5uO8y8t+bzZq+p9G85PGBaHFM6KqhfOEBkfBVE5Mtgag2uNcjE7uDeTeHCz/OLGaLeJV9ZBUU0osw2sPZAfcGHwNgcEf6Uzx3xUvCAY2HQQKSLKVu1NM06NQ5I8CV0go1LtvJonef5dOScrNSvxUVETDjjl7xKXMVYLGFmLGFmSleJY8LSV7FFXOrzKnquOOEG3wKWqQki7HGEtTNCFCIl5hVJKFGUuezznSlEgUwY0nsKMj/D/0VhV8XO8etF7VrzkYPjCEriQ8gzzZBnmqEk9lQTHxUnxuu52B96y6oIvLm4U9vTHRzecZTvJv3st/2OPh0xBvEZNoeZue7mBmooe+YXIJNRF4fXFKCj+ov+zQ8e8PwDlgdR7zGXEbU8o/4dI4eDuVOIgyxguV3NEWNq52vvUgRJQTqzXRkP7TjKa/e/xYMV+tC/xTDWLtiUtW/AjKe5tm091SdbQESpcBCCo7uPc2zvCeZO+JHnWg7H5RuZ79+SwIp5azi290TAVS8ndW+oxdeHP+DdteOYtm4cXx6czjVNavyrfcgvV5w74NWMtH+PTHmNgFG3Ll4d+RZhQWBpX4BMeQUIMjq23IkuenL+25IO5NmbQUkie5SpA12s6kEiiidxvVTSkec6+YoUqGr969dleP/VsjjyWPurUKscn+7xN7/9NP1XZgz6Ar1v5B0RG87YX4ZTuZYdmfgA+as5GQwjWO5WF9ftP5C/vCE5MwkKtY1c3BR1ZbOrmSuuLZDUjyx3S+kEfTXwHgEUX6pYPYQNhPRRhbojAKz3o4sax6EdR+nfcjjODGfWKNxsM9Nvyv+oe0MtBt40Eo/bi8vuwmg2qHUhL5IdvVHPs1MfY8mnf5DwzxF0eh0et5emtzVixDcDMJpyj3y9GilZ7oBXM5Z7wNzGN1U1ADYQYYjo6UVfxV0XFWIQrwddfMHaciz2BczkNA0o6jbHb4Xv4yUidOGIUt+D9V4Q0aArQ+uuXUCX94tEb8h+3m6Xm3EPv8OHL36OwShxOx00bmfg0119qFKvklrlPORsJz9/Nzc4FvhmCPn1Qsl5nCQv33LpzJ4B6EyNEaVXIWJmIKLehIihPldah9qOzACZCumvUbBZwEX48s98MmK2n2iD6ko3c/CXjO42ifSkDBzpDhSvorrbBRkret1ePhkxm/1bEnz1RO247C42Lt7K7HE/FL6PVylXnlfJVYwQeoh+F9zbwLUedLFguQ2huzT3u6CYWvrCsC8ecRsRtm4Fa8t7NEikI+q2YvatF/p4RNRYiBoLQCQwZsFORt43HsWdhj1Th1Qg51vMbDVx+2Ptsz5/PHw2q39Yj9vpzsonven3VOa+PoCHRjyKMDUhuD3bqEaEerblI0+JTq0PmatdPBJ1hlRwF0OZ9gbCvFD93bkSmf6eGt1ovBa8xwi+tnKJhY1da5BKCrvX7Qtq73Y53Hn6auckNTE9sA27i5/fX0yDG+sQX6kUlWqXbM+yokIzlVzFSM9+5PknQSahjgwlRI5BZ72jYO04fkemvBj4EhA2RPQUhPmmoupykeFK+pCdf3zEqSOCmaPL43YK3G6BwQD1WlbijYUTMZqMSCm5O7JXUI+S6FJu5mw/APErIPkpcO/Cb+QrwhFxi0EXgzz/mFodJqQZxIIq2rmNnE2oQlo4MRVl9iDtP0Hqq2SbdQqbizs/mCH8Wfq3T2DvxsCALqPJgNCJAFfASyG+chzTN44nOi4y1+P+Wb2bOeN/5OTB0zS6qT4PDrmX0pXy9sS6ktBMJf9RhKEmIv53ROxXiJgPEaXXFli0ATC38yUVymlnFCDCkcb854IIRmaanVnDvqRn1b70qvEMX77xLS5H/osEX8zeTQcYcttoHqyxnOkjSmMNV/hq404GvH2Ux4ef5M05Rxj3w/VZNlN1+h48OVN6qh6EAeHegIj5BCydUJ+BDkV3LZmGj9QRvzCokaDGm8j9K5WXeLrA2CiPNkIgotT208bhb4svbPGF/OAE1zp6jrg/IMGTyWqiQ6+2lK6cP7EUAqwReTshnD1yjmebD831mOVzVjP0ttGsXbCJwzuPsXDmUp5q9BInE07nqy8lgUIJt1D5TAixVggxXwihmVyuUIQQCGN9hKlZoRcRhdBDzNcgYnNslaCkQNJT+XILC4bX4+WF1iP4fsovnDlyjlMJZ5g97geGdRpT4Db3bjrA6G5v07/FcDb/to30ZC8Ju6xMfK4SS+bG0O7uFLr0OUfdJk6EOXsQozfoqdoweM6MOk185g9hU90yoyeSIlYysk9POlfU06X0WDqZu/N4/RdY/tlopGsZgSJpAV0cRI4i78AXHYQNIn8+2Ref9z91kVYGmhvyprB5OAygr0qz26+j92vdMNvMGEwGjGYDHXq0pv+0JxgxZyDh0WFYcsnDLXQCa7iV6PjcR9EXOH3oLKePBDfBeL1epvX/yC903ev2kplm5/NRcwt2e1cwhR1x3wgYpJQtUA1ztxZdlzSuRIRnB2oipZw4Vfuua12h2lzz80ZOJZzxC9Bw2V3s3XggaH4I6T2pVpnx+BeM/XbyAga2e5U/v10bUDbLadfzybhyPhdBK5hv8sudAvDctMcx24zo9Oq5Or3EYvPS97UTgBFMagCGlJJBHUaz/td/8HoUpASP28uRXceZ3H8fn08MlvtZD3HLEdb7QJeXfdYAmR9R4Bwm5o6IsKfVBelciyYE+7oL0Aev4QigKPjuU/3JiZQGpgzMoHPYw8wY9AUuuwuhE0igaoNKmMxGajSqypeHptN3yqO0vLupml/b957Q6XUYLUZueaQdY34ZRuKJYIWag3NkZ/CiwWePJgadQSlehS3L/sl3+1c6hR0pnwbe8f0eMK8VQvQB+gBUrly5kJfQKAqkkgKuTWoEqqlpvnzBpWsrMm2CWjZLVwrCnlaTfAXLly0d4N4M5oJHl+1auxd7emCbHreHPRsOZOWHkNKtVpdxLFNzqUgX0twaET2F5LMOPnn561ztqG6XnqSkBsRV746w3R+wv0HrukxbN55vxr5NwrYD1LrWyYPPJlOhuhkR+5GvEDD8s2o3Z46cQ/EEmh4cmXrmvR9Plz5niYjOYaMWIDy7VK8U632Q8R4hxVVfVk37WhAsXdBFv3mhAWRIt0EDGOr58tO4yQrfN7VBRL2pFodwLgo4y+0SPHXzNaSnGBj87hEat0lHUSAz3cqM1+rwx0+Hsl6WUkrcvr/Dx8Nnc93NDal+bRXCIm3c8UQH7niiA3s2HmDB+4tJOpPCjfc2p0PPNpgsJg7vOhYyACoYtZsHD8iLiAkLWvMSIKZs0ec4KS4KJdxSyn0AQoj7UFdUFl+0fwYwA9TFyUvs4xWBlBJp/1H94innwFAPETEEYWpUwDa+hczPVVcqS0dEeF812dRlQMn4AtIm+Px2peplEvNx0OK9WefYF0LKS2QtkHkzIfUNMLdGXWC72HvC7Aubzx9SekE5AyKKslVLY7YFzw8RXyk7SZRMnwaO31HLnfmOda5Cpk1ky7Kb0Bv1kOsCmJmomh+js4aerletX4mhX01BKudVjx8RBqYWWaINcCrhTK7GDpNZIWGXhWtb5ljElQoybaJa0g0vqo1cIajd2XuW/C9MGsBQGxE1zn+zvhZ4g9WpFBD2BOjLI7xHkPqKCGPdLPOZjJoM5w/hztyN0SRRFHDadfz8aSlOHlZtz6/0qk5YpBdrmBe9uTypiekonuC+7W6XhyWf/8HTb/X22167aQ1qf9Qv4PiK15TDEmbJtaDzBW648/qAYhkXCIsKo8VdTVn78ya/mZwlzMyDg+7Js+2SQqEXJ4UQdwPPA3fJUIk2riJkxixIG6UGMchMcG9Enu+FdOe/mKtMHQlpb6ijHuU4ZH6NPHcvUil8GtWQ13JthbSJqGKXrnqEKOeQifeipH+MlIHCoWT+ACkvEigednCugmC+5sIAltvz1Scl8zvkmRbIs7chz9xAuzv/wGD0nwEIncBis9DirhyL6ZlfExj84oTMeZitplzD9M02E3f26Yg5F9H2v34swnI7wtzGT7QBajauilRCL/R5XDpKlbn4BaLH69iKav5wAXbVfi/iCAxPz6+JxAzW+xCxXwTcu4gcQPAweQ+kDoOUAWBqgc50HYrXkLWWoNPpEKV+YOqwBvzxUzTLvotmZO9qfDSmvF8rGal6Us7bqFCzHG5naLOM4lVw5kOEL6DX6xn82bOYbWb1RYwaxBNbLoYon+3bYDJwV99bee3HwMyEORn0cT+a3HItJosRW6QVs9VE96H3cdODl56N8kqhUCNuIURZYBBwu5QBjsJXHVK6IGN6EF9mJzJtCiJ2Zt5teE+B/Xv8p7FuUJKRmfMQ4Y/lcn07MuNrNYhD2BC2HmC5I1fBkvZvCD5lViB9EtK7X/V/znEN0kYR0gNBCIiaoLqaKYlkhelb7souS5YL0rlCrRqTI7dIuGkhby24hfFPS47vPwVSUv26qgz/6nlMvvJiUnqC+KJfwEHT2xqGfA5Gi4HOfW7hyQm98uxffqjWsArX3dyATUu34blItAxGhVrXZlKhes5nbiM12UxktP+CoRASqSQiRGEmo+FgqAiOZUglEcIHIIy1AXVhTmdqA1HjIe1NUE7mOE+qz9HrZNvi4bzzkpWju09gNBno9GRH+k7qjcFo4K9fI1gyO3SBA5PFSFR8JHc9fRu71u7Dr2UlfwAAIABJREFU4wot3oknk5BSIoQgNTGN04fPUr5GGcKigpe4a3bbdXz490R+/mAJZw6f4/qO19KxV1ssNnNWO/nBGm5l9PyhnDtxnsQTSVSuUx5r+JWXb+RSKKyNuzdQDljse5gfSyk/LrJeXWl4zxBc0CR4dgXZHgT39iz7rD8OcK0Bggu3lC41qZEngQujTpnyD7g2IKJGhb6ekhKizwAusM9Hhj+H0PsK67q2kmsUnfSqAq3krPQiwf4DUlgRkUNCnwvI1PEEFshwUL3GEmZsXUPSGTc6vY7o+Gw7pHSuQCa/FPo+DA0wW628sWAYIzqPU0ePUp2m93y5C10H3ZP1AigqRn73EnMm/MR3UxaQkZSBTq9Dp9PRqF1Zhkw7oObpFqXAeg9O0ZPkvTcRGSQrqCpEBb26AXCAx7dw61yOdK1l594xvP3UEo7uPkFYlI37B9xJj+HLEIlNAgYbCbsMDLk3Ea9HnT25XR7mv/crR3YcZeLvo2jeqTF/zPkrwE5si7BSpX5Fmt9xPfc8czthUTYq1CrH4Z1HQ468Ny/dxpLP/mDrHzv4Y+5fGE0GPC4Pd/W9jT4TewUteFChZrkA8wpQqAo0ceVjiSt/ecyQxY0WgJMPpLQjTzcnaGUeYxN0pWbn3YZ7G/L8I0Ei7PRg7YEu6pXg59nnI1NeJZhtWcQtRBiCL/5K+4/IlJGEnH6LcET0OwhzG1//tiPP9woRAagDW0/wHARXsJqMFkSZdYgQWeekdCFPNyS4O5wJEfdLwH1IzzHkuTsInh/EoOYkj/0CYWwIgMvhYtNv23BkOGncoQHR8VGqvdr5f/bOPM6m8o/j7+ecu89uxr6TNbJWQiSiBZGSJLTHr9BeUkqpVEQlqbRJtEeRQrJEIWvZ1+zbjNnufs/z++PM3Jk799zZjKLu+/Xywr3nnvPcmXu/53m+z+f7+S4DzGDtUOYVqoFAgMO7jxGb6Ai54eSya8Neln18O32HHsBmD33v2ZkmYuJUIjf4FbidZhZ9mcDmNXHUbpxNn7tOIERoGktKwS/zE3n29ryfn9Vh5eo7O3PPo69S8Of3xM21WbM4DiMJ4Ac7XsdsMTG09aO4stx4XV5MFhMmi4lxPz5J4zahlrDZGU7ee2Imiz5eSna6ceVoYsVEXBlO3Z8k3/hufa5fWI/JKKFEC3BOEyHs4OhHeO7Qhoi9r3gnMTXNkV0VXORYEDE3R3yZ9CzDsFuKUHMq9SJguzqnS06EWbT0h3bqNjXJ0WkbzGys3RBxj0dudyaUnFVJBLwrifxR00CtHD481xcYb9QpYGmPSJ4TDNoAFpuFS3q0plO/diSWT0DLnoE81hGZPhqZ8QTyeDukZ2nkMZYCVVWpVq+yYdAGSKlajtnvprBvqw1nlv7+3S6BM0th1pTOYKoDGKeZjh0wMahNPaY+U52Fn8fx46flcTvDb3xCSBo0C03FeJwe5k5diF+9jIKft+3r7UTSbS/+ZDkVqqfw3paJDBjVh4u7t6L3sKt5Z+P4sKANEBPv4L7Xb2fSL89hizUunkk/lh4StHPH9/n4bw2PL4pTx9PJTCuNVv3fRbRwppiIuMeQWMH1sZ7uUFIgbiTC2rZ4rxcCkj7Q/bF969HNnuIQCS8gTHUiv1CtiP5rKrgcFbpUL+L1LFBuut5JPGsCoekGC5gvCLmuEALKvYtMHZRTxCH09xlzF0rcMACkqT54j4RfTMqccUZAetGLSgxuQKb6YZuAAGjHMS4ftyJsV+hd0qXUJYvaSTA3DapzpH+nnuPNnc3mxDuZdh9UWI5QjBUJZU1CSjytr2zDI31VWrQ/QdM2WRw/aGb5/IqM/GQoIrku0jWfTYumcfLgYeo3d1Kllh7kpoyuQkaqiqbpN6/jB0BVjVfHR/aH//xUs8LOHf2olLgci8WJI1bDmaUQkxAgI82EUfCOK6evSOLLxXHT49cV+31Wa1AFq92Cu4C002RR8fuMdQtZqSULvjvX72HcwDeCVq8NLzqPxz8eRoUaJTRM+5cQDdzFRAgV7FchlSRdKmbrjqKWbOkt1BRE8sfIwEl9o0itVqQroLD3RWZ/RGjgFnq+2VL4TUMICyL2LqS5GTLjCQjkbFZZO0P8cxzefZR3H5/BukWbiElwcN2Ia7h26E8I/1rdd9rcKqTTjogbhjy5ipDlt7CDY3DhnumWNpw8CsvnJuPzKlzcJYPq53kACyI2XBoGIKztke65+DwuTh41kZgcwObIkdFZLkQGjiBTb83ZgFNA+pAxd6LEDUO65mCslQ4g3QsQDj0oycBh8CwGVL2IpYR9KovDQ+8N5fV7p/HTJ8tZsySFuMQY/vfabTRp34gTB0/ycOeFnDzkAKoR8Ak69DzFg6/u5/fF8WhaXnB1Zqn89FUSl/VOC0m7eD0qMydWCn+nfo3n+n1ERup5XNI1lVoN3OzfaeXYAQtGQVtRlVJ3elFVlYffG8qzN07A7/UT8GtYHVaSKiagKAqHdoXf7BteXLxmIAAZJzN58LLRODPy0n6bV27n/g5P8dHON1BNkfdmAoEAO9fuQdMk9VvVKfTYc4lojrsYSKnp/Rk9i9EDghmEgij3AcJ8QZlfC+9KCBxEqtUR5ibgXYNMf0S/ttRArYhIeqvwmXrYeSWe7GNMe+Irvp/2Cx6XB0VRdG25lueh3HVQR4ZNvjPyebyrkBnP61anSpLeo9IxqNDNo8Wf/sIrt74O+NACukCl+aVOut9WmQv7TAEUln7+K6vmr6NcpUSuubMLVeuV5+sX+/HhixItAJomuKJvBkNfuQhLyli0E71yiknyz+jskPAKuD4H78/Gg1HPQ6R8h3R+BJnjCTFhSngexd6j2D/TkuBxechOd5JYISG4KTfi0lFs+XVHyEag1R7grtGHeO/5KmRnhAYZk1ljyJiDdL0xDQn4vBZSM+/m3o6/hmjhrQ4rLbs0Zf1PfxgWOBVENancPX4gve8rhY9NPv7aepA5b87n6L7jtO7ajK6DLmPLrzt4qtc4vC4fUkoUVcFis/Dq0jHFbl325cTveP+JmWEpF3ucjZEzRtCmeyvD123+dTtP934Zt9ONQGC2mnjyswdpdtn5p/U+/y4Ky3FHA3cxkK5vdA12QTmgUgFRfmlw1iylV9/AUxIQBnnbIq8TOIZM7Z9TiOEmKLkzXwgJ4xAyVZ/hqnVLtcv+WLdn2bRsS6FVhmarmRl73ySpYiLH/jqO1+On6nmV8Hn9bFu1E4vNTL1WdQwVAUZkpGZyU/V78LrCpYlWhxVHnI34lHiO7j2GO9uDalIxmVV6DOnGt2/9EOI5YbWrXHVHV4aO74w80QPDjUsRn1OkE2nTzwbxT0HGMwbHWPXGEMXo53m6pB09xc21hhr2Y6zZwE3zjgnM+zBgqNiw2DRi4wNkZdi4oGMTbh51PW898AE71+8lITmOvg9fS/qJjIg+1iaLikBgj7dzWd+29BzaTfcdLyF/rtjGwulLCPhdXHZDPZp37oiihkv9dqzdzSfPf8W+zQeo37ou/UdeR42GxbdnfeO+d5k9+Yewxy02M3e9PJBr/6fXEXhcHua9u4iln6/EFmNj09LNYcHeFmNl+u7JEfclziYKC9zRVEkxkM7PI/hRZ+lyQPP5aM7ZkDkGvcGAH2lugkh8o0TLb5n+sO6hXNBE37ca0gZCygKEUPQ0gXsB4Afr5QhTZN1tLvu2HOCP5VuLtNi02Mz8vmADX4z/jv3bDiIUBavDgifbg2pWkZokJsHBPeMHsfK73zm4/RBNOzSmz/3dSa6cFHa+3+auDXaUKYjH6cHj9HDqWEawECTgDxDwB/hy4nfBlUDweFeAee8u4o6xLTAL1VikIvPLFY1wg/MzIm58ehbmbESfWdxOj2FzWoCMUxXZ/HsyAf9ehBDBXHHuz8PrVkh1K0CAtQs3YY+z0+WWjoxb8BQx8fpm58KPl2KPtYXNuG2xVgY9cyNturemWr2STy5ymTZyBl+/Ng+vy4uUksUzl9LpugmMePM6RMyQkIlFvZZ1GP3FQ6W+VuNLGvDDh0vCcuiKqlC/td5azOv2MrzdKA5sPxRysy+Ipkl+nrWCXvdFavF2bhBVlRSLSIWhAgjoVYoZT+pBQ2YDHvBtQKbdXewrSC0LvGsiXEuClgrelWjOr5HHr0BmvoTMHI880R0ta0qR59+/9WCwIq0wvB4fUx+azu5N+/C6fXicHjJOZOJxeXFmuHBluTlxMJXn+r3K4k+WsXXVTr5+bR53Nn2AI3sNlCWyaE88o1VfwaCd/9js7GoYKyMERV/NBMJKRF1+WNf400dKqXuj+zYGGzVXqlXBsGxbNamkn8hkx++70QKa/loJjnhjqaUW0Fj2xa9Me3wGtzYYzvEDJwHocH0bHAmOEP8P1aSSVCGR3vddfVpB+8D2Q3w1cS4epxf9VydwOxV++jKebcs/0K0hypD2fdqQUiVJ71mZg8VuoeHF9WiY41ny0yfLObjjcKFBG3QTs/QTGWU6vn+CaOAuDrbeGDdWNSM9a5Dp9xO+bPeDfzsykoQujCLM5mUA6duWY5Kfmwrw6n9nTdGfK4QajaoRiLDDn4vZaqJGw6r6LCpC4MyPlnOM3+sn+1Q27z85K+yYi65ugeYvO0cEe4yVxPLJEPc0ujwz9yNsQ/8dFZVC8uccY9QNXYLtcoPHS4/070WeuAp5og8ydRDy2CVorgUIIXjkw3uxOayYzHpAssVYEUKEFb/4vX49ZVLIW3Nne0g/kcHbD38E6PLIN359nouvbolqUjCZVdr2upBJK8YabtBJKVm7aBPvPzmLb17/vtDgtmreuggdbxR+/dEK2W8X50dTbCxWM6+tfJ6eQ7uRXCWJCjVSuOmxXoydOzI4s1/53Zpi+ZzYcpo/n+tEUyXFQDiuQ3q+12V80okubRMgfZA1kYhNZIUJAifAVHSnaKEkIU219U0/4yNAZmB8r/Ui3XPJzKjC3LcXsG3NLuo2q0X3u68gqaJetlejYVUu6NiY9Yv/CMubClWgqirtr2tDo4vrMW3kjCLHWxBNk6xdsCHs8YSUeIZNuZPXhryD3xeI6NxWXJpf3kTPrzt6Is119U3GwBG9c7mpLqQPM05r5ce/ASwX59jRegk2440bgVCrFP7aEiBlQC+60o4SsvRIfxBp/prmnZrw9qbxzJ26gMO7j9K8UxPevP99w3MZ7REURAto/DZ3bfD/KVWTGTP70WCQFUKwc90e1i3cSM3zq1O3WS1Ad2Mc1eNF/lyxDXeWG4vdwrQnPmHsd49zQYfGYdexOiyoqhI21VBNUlf+aCeLHGtJiUuKZciEwQyZMNjw+aQKiSiqUujny+qwckHHxlzQMfw9nWtEA3cxEMIMSe/pPfa8vyKUZKT7B93OtLClufSBuVHxr5MwDpk6wMCbwwqWVgi1UsSrHdrtZFjnYXhcXrwuL6u/X8cXE75l4vLnqN1Er6p7+quHGXjevWG+x2aLmWfnPErLzhewZ9O+orMNEcjVARek26BOJFdKYuH0Jfw6by3ubDcBX+QvmCPejs/tx+cNX4Uk5ythFubzEQnjQp7X/HdC1lT0wiOJYeWodIHMRiTPRLrnAyaE/RqEydgqtNR4V0XIufuQzk8R8SOpXLsid7w4IPjM5+PncHh3IcVMRWA2KPEXQuDKcjHy6ufZuW4PQhFoAUnDi87j2W8f46cZy/hj+dagMiX3JvHsjROYdWAqqho6Q29/3cVMuf+DsOsoKnS8Nh0s7Us9/tLSY0hXFk5fErYZGVsuhroX1ETTJN0Gd6LLgA6l2tg/24imSoqJEArC2g4l7kFwDATfOgqPcHaIHYJQitfVA3ICUcpCiBkKah1dLy4qQezdiKS3wNqJ/LlZTYM1P8cxbWwVnrrpIJlpWcEvndftw5nhYtKQPAOsk4fSyEwLN2zyurzMmTwf0I2ULrqmZUgrKiFEkR92i83M9Q/0DHlM0zRmT/6e3smDeeKaF1j0yXKyTzkLDdoALy16ytDHwx5ro1WXwuWXSuy9iPILEQljIG44RpWJvy2M4+FrvdzR/B3eGVOedNfgsg/akNORxuiJAATy2mjpeWx9FXTL6L5hbcCKi8VmptutnQyfm/LAh2xbvQt3tgdXphuP08Pmldt597GP+fHDnw2bD3icHnat3xv2eEJKPCNnjsDqMGGPDWCPDWCxaQx/6SCVapgRcaXfiCwtdZvVYvhbd2GLseKIt2OLsVK5TgVe+2Usr/z0DBN+HkO3wZ3+NTru6Iy7VAj0GZ1RABJ64UrMbQhbl1KcWtXNqJTyYGmha6Rz/bPVisi4JyBzLD6vxhP9a7BtvR23UwVOGJ5u88ptBAIBVFUl9cgpTGaT4bL72F95y9snZo5g3tsL+W7qArxuLx37tiU+OY4Zz31JxkljC9rz2zfkqtvz8sMZqZnc3vh+Th1LL9HbV1SFrFQngUB4Xrxqvcq0vrJ5kecQakWw99T3BbKmhvivfPZGeWa8Wgm3SwAHObTrKD99spy3N7xCQhENaEuMpRWGexfCjrB21D1wMp4H1zeAF2lqQpd+Y3Bl3cKHT83CmenGYg3gdmpogfA7mdlqwmQ2BTcwG158HoOe6Rt2nJSSRTOWhUkPfR4fCz5cEkyZhL+QiLLPtj0v5LPD77H6uy8IZC+gVccjxJXvgIgdijBFON8Z5opbOtLh+jZsXbUTR5yd81rU/lfMro2IBu5SIIRA2rqB+wdCv5gWsF+PUphrXyHIwAnkyWtBy0BXpqxGuuZC4qsIW2cAlJh+SGtb5r/+DlvXbcfjKnz2ajKrwS9f7aY18PvCVRNmi4mWV+T5fqiqrqPuMaRb8DGvx8eqeWv5fcFGw+tsWbEdt9ODPUavoHxp0BslDtq54/3o6U8JGHSZMVlMYcv2whBChcQJyFND8bo0Fnwew/vjKocEQb/XT2ZqFl9PmsvgZ28q8XgLH4AdzM1zPGVyb0Q2UGuA/Rpk2hDwriaoJ/dvQqbeTI+75tL97mlkHV+J3T+Ul4eVZ/m8BHyevCBqc1gYOuk2qjeowsGdR6hzQU3qtYxckGWkFwf993rVHZ3ZuX5P2OaeI95BnWaRpaaOODsdb7oFKBvb3LLAarfSrGNogU3+HP+/hWiqpJSI+NH6ZphwAHb9b1MjRNzDpT6nzJ4CWhp5hSEa4NZNkvL1qhCmGiz8LFBk0DZbTVx+U/vgB9YRZ2fg6BtCGreazCoxiTFcdUcXJt4zlZ7xt3C1vT9P93mZY/vzZvFvP/wRm5aH94HMRTEpbFyyOfj/1fPXF/+N547FYqLLgA5s+W2H4fPbVu8scRNhYW1HuvySOzo1563RNQxnrj6Pj9U/hG+sng7Stx15vAv4NqAHbQUw65Wm5T7V9freNYQVAUkfMns6iqIQa1uMqroZ8fIBWnbIxGLVcMQFsFg1rr2nLlfedjlN2jei2+BOhQZtIQTNOjYOSz8JIWhxeVM6D7iU1t2aB5sY5KYbnv7qoWIXWp2NeN1eJo94n57xt9DNfCPD2z3BzvV7/ulhlQnRGXcpEUoCJM8G3xq9WtJUH8zNT++u7s4tqS+A5tI775jySoRVU+QvlM1hRQJ1m9dk6KRQn+8bH+lFjUbV+PyVOaQdS+eiq1rQ9+GePNXrJfZs3BdUnKycs4bNK7bxwfbXsToszJ/2U5HKBnM+nW1pKnI79m1Ls8ub8P20RcbvK0cuB3oq5of3F7Pj993UbV6LK2+7PGKq470nF3DykA+/z3hMQkD56sl5plX+fWBucFp5b5n+WI4KKBcNUEE7jlAcSO9eXXUUNiRfnt+2UACBzaEx5sO9HD9k5vghMzXqKcTVGFiiz9p9k+9keNsn8Lq9eN0+LHYLVruF/712G6qqMvqLh9i6agcbl2wmoXw8l/ZpgyPu3G4+8GzfCaxduAmvW//cbl65nQc6PMU7myZQsea5bU4VDdzFINJSSwgBlgv1P2WBkgCaUffqAIjQYo2r7+jCrvV7w5a3SZUSuWf8IGo0rBrmBbF/20Hmv/cTp45l0Ou+q2jX6yJUk8ofy7fw15aDITJBLaDhynKzaMYyug7qiK+QTieg50KbdshT0DRp35BNS4vXZMJsMfHM7EdRVYWneo3DKOZb7BauuesKAA7vPsq9Fz+Gx+nF4/Lyy+zVzBr3Da+tGEv1BuGl1L98vSqiS51+bit9hl+OPHkDBHaAFIAPaaoLSe+gFOZ8aIDUsvKCbwg+Pb2WMAZM5+mqo/DRQI7/jbD3RDpnkSs3LV/FR/kqPsAK1suKHMe+zfvZuGQz8clxtOnRive3TWLeu4vYuXYP9VvV4eo7uxCfnPe5anhRPRpeVHzzp7OZw7uPsnbhxrBKYZ/Hz9evzeWe8YP/mYGVEdHAXQjS/5fuUeJdCahI25WI+CcRikFLk9KcX8qcxrlmvddhzGBk+pOE6sJNYGkZ5p/RecClrPp+Lb9+9ztaQMNkMaEoCmO/e9xw2fzzp7/wym1v4vfpJeVLv/yVrybN4+VFT7H3zwNIA/2rO9vDznV76HFPV6rUrciB7YfDjlFUBavdwjPfPILZkidFe2z6MG5vPCLsxmKLs+HJ9oQU+Pi8fiYNeZuUKuUiVr5deGVzbhur56AnD3+PzLTsvBJwlxef28ekoe/wyqKnw15bmJLAEWdnyMTBnH/BdHBvIWTPwr8Vjl+GFj8WxVF8m9NCM5DClPNXDaS1I3iWkvf7FiCsCIcuDxTmJsjYu3LkjZKgxDHhZX3FFwEpJePvmMLiWb8AEtWkoppUXl44mv4lsGs9k3g9Pn76ZDm/freGpIoJ9LinG3UuKNq6objs33YIs9UcFrj9Pj871+0ts+v8U0QDdwSklqXPwGRuCzAN3POR/m2Q/O1pb3RI7wZk+kN68Qga0lQPPReaG7hycqKmeojEiWGvV1WVUbMeYMfa3WxcspnECgm07XVhcHMwPx6Xhwl3vhWicXVnudm1fg8Lpy+leoMqIaXR+dm+ZhcBf4Bhb97Jkz1fxOv2ITWJUAQmk8qA0TfQ696rgsvq1CNpLJqxjLSjp3hs+jB2bdjD6vkbSKmSxC1P9+WdRz5mzQ/h+e+ME5m4Mo0Lmax2C0MmDA7eGFbPXx9W2SmlZOOSzWiaFpaX7TroMr5+fR6+fF9iRRU0vLAeLy9+GrMF5NH7MK5eDUDGaKS1TbGLc4TiQJovBN/K8CfVvPSLSJygd7B3ztKVL5aLEfFPINQKeeOMvRdp6wmen3W1ka1r0Hc8Eks+W8FPM5fne7/630/2fJEZ+6b843lrj8vD8HajOLjjMO5sD4qqsOCjJYx46y66DOhYJteo3rCK4YasyaJSr1XxXTXPVqKBOwLSNRt9JpR/JuqDwAG94s5aOu9iABk4jkwbFNomzL85/EAlDpH8KUKYkf6/9Jypqb7eJCGHei3rFLoxBbDl1x0IJfxG48728NPM5by04Ckq1anA3k37w3LTf209yKcvfUP/kX2Y9MtYZr34Nfv+PECDC+vS7/HeVD0vz/Ni3U+beKrnODRNw+v28W3sAhq0rsuEJc8Eg24km1GP24vHbTzbVk0q5Srrq5wNP/8ZsTrOZFYNb6i3jL6BP1dsZdf6fWiBAKpZJbF8Ak99+RAWqxkp3UT2owGQ4J4PMZEbOodh6wy+XwlLYvvWIrU0hJKk+6XHPQBxDxR6KmGqAaaBxb70rHHfhNykcjl1PINd6/cW+Xk508x7d1GIGZQW0PA4vUwa+i6X9mmD1V46HXt+KteuyIVXtWD1/PUhezMWq4Xew07PvvZsIBq4I+HfFsERUIPAbuA0ArfrC5BF+XdoIF26paxzll4KL8yARMY9jeK4ttjXs9gtETcL7bE2hBC88P0obqp+d1ic8bq8fDvlR/qP7EPdZrV4Yub9hucJ+AM8d+OruPMVcriz3GxdtYMXb3kNT7aXCjVTuKBjI3au2x2WEtEM5H+gb7Te/OT1wcD/9iPTI77PFpcbd3y3Oay8uvRZ/lyxjV3r91KxVgqZqdmMu+U1EIIrb+3EZZebiWwF6ye8yXMReH/DsPpGmHQJoK1ryc5XAg7uCE9pgZ4myH9zlFKiaVqJJJZlwdLPVxqmxBRFsHXVzjA5X2kZ+ckIPnxqFnPfXog7202TSxvxv0m3UaH6mbftPdNEA3ckTI3RTYsKBG+hgOk0N3AC+4gcJPIhvboXipbK+l9szJteDpdT4bJrX6bTrTUwOVoU63INLzoPR5w9LBVhi7EGN/xsMVYURSGghd9QimPes3PdHsMSdY/Ty9LPfwVAKLqZfflqyZw8lFbkeSvVqcAtT97AFQP15fNfWw+yY+1uw2OFgCvzFQCFPy9o0q4h57dtwDPXv8LvP24IXn/Lr9vpsM1L5AyCltO1SBY/RaYkoqe7DG5IomybFhckEMnUS0L1BlXwuDy89eBH/Pjhz/jcPuq3rsuwN++gfquiPXXKgtjEcM9u0P1uylLJYrGauXPcLdw57uzRmZcV565I8wwj7D1AiSH0R2QBtTaYDb3Ni39u80U5+u+iUEFL56NXUnhqYG2WzElk1cIEXnu0Ao9dNd6wutAIRVF47rvHiU+OwxFnxx5rxWIz03NoNy66Sg/+MfEOqtUPt/pUFEHrbs2KHqkpgj92PqQm8bp8ZKRmMeCpGwoNgo54O6Nm3k/XQZcFj/tk7JcRXQsVk0qrK4oe5+aV20OCNug3ptSjRcxhXJ8hs/PsA6T0I11foZ0ciJY6GOn6Tu9eRE4XI0srDOdFwgaWi4oc5+lQpW54KzPQb85xSbE8c/14fvxgcdBLe9vqnTzU6WljW170G8GiGct47MrneLLni6yYvbpUcs9ceg7thi0mNB0iBCRViC92V5z/OtEZdwSEEgPJXyIzntV3/oUJbN0RcY+dfgWW/WrIfjOnB2TuLDX3nLlfCCuoVTl+4DifvlEBvzfvBuJ2qmz73cPKOWto3/tsX59sAAAgAElEQVTiYl3yvOa1mXVwKr//uJHM1CyaXdY4rNHqA+8O4dGuz+L3+vF7/VjsFmwxVu4cNyDCWfOo06wmMQmOYrXK8ji9fDBqZqFffp/HjyPBwbx3F5F6OA17nI3Fs5ZHPL5Tv3bFmq2t/+mPMCMigE8mVmLoc0cwmSPZ67ogeyoy5g5AIE8NBc9v5K7IpHed3tou5lZk2j05DZdzseVYGdgRSe8hxJn92t363E28MGBSge5BFgY8eT2Hdx9lw+I/Isjk5oW572maxlO9xrFxyebgzW794j/oMqADw6fcVarxXXhlC65/oAefvjwbs9mEBGLi7SE2rVEKJ9q67B9CaunIrMn6ppewgK0XaCfA8wOggr0XOAbw9r39+XJqOYzMmLsOuoyH3/9fmY7r6L7jzJ48n782H6BxuwY0v+x8fvhgMQe2H6bJpY2o07QGJw+lUb1hVVpdcUGIQmH777t49IpncWW5Iy/Xi4FqUmjSvhE71+0h4A/oAUhEbq5gspj4cPtrITeigzsPM+uFr9m6eicxCQ5qnV+DxpfUJysti/dGzQzLsVodFsbNrkajJgtzHP0Mr4SosAp8fyJP3R26uayfJaeopqCRl1mX8Nm66WX4fwOLPlnGO49MJ+3IKWISHPR7/DpueLAHq75fxws3TyI7veDYoXmnJry8aHTIY78v2MDTfV4J6z5jsVt4c804ajaqVuoxph5J489fthGfHEeTSxv+7bn2s51o67KzEKEkIOJHQvzIAs88HfyX3+dn7vTyGOVJhYC45JLlSn1eH2sXbiL7VDYXXHY+KVXCZWUVa5bnrpf0nODahRt55Ipn8Xl8aAGNjUs3g9QlVWarmZSqyUxc9ixet5cPR3/KqnnriE+Jo1KdCuzZuM/QbwSR4/VSSKOG1lc2Z98fB0KDSyHzi+sf6B4StHdv3MeI9qPwuLxBBcqfv2zjx49+1qtKDSYrQlGo0fJJROJY5MnrjAtolAQQMUjvSoOgDfomptFABQT2GQbtY/tPMGXEB6z6fi2qWaVz/0u586VbTjvX27n/pVx+U3t8Xj9miyk4k63ZuJqhTM5sMQXbgOVn9Q/rw4I2AFKybtGm0wrc5SolcWmf0m/y/5cpceAWQtiAL4DqwEZgoDzT0/b/KNvX7EKoVgw9pRFcdVvxu7XsXLdHT4P4/EhN4vcF6PdYLwaODneTg5wijjunhNp95vyW/d4Afm+AQ7uO8ET3Fziw/RCuTFcwUFvsFgx9WQWUr55CZmqWcTAQ0Pehnlx1RxfuaVE8a1Cr3UKrK5rx+fhvqVgzhTY9WjP1oY8MUzY+tw+/x0+1BlU4dTwdvzcASMwWM6O/fIi4pJwbYdzjOW3n8p/DBrEP6gFQSUJiJXyDWcH4DuM1bC7gzHRx78WPk348Q7/BuH388MFidqzdzeu/vlDstEHa0VNs/303yVWSqNusVvB1QggsBfy5K9WqwMXdW/Hb3LVBmZwQYLaZ6T0svA9jQnIcZqsprPmGalLzfl5R/nZKM+MeAByQUnYXQnwHXAH8WLbDigJ6+ynjGRxUb1SVuHKxHD9wkpSq5Qr9kgcCAUZePTbMkvWzl+fQ9NJGtLi8adhr0o6eIu1I4e5+AV+ArQaGUF6XF9WsUrlORU4cSkVqkip1K3L7Czdz0VUtuLHKXYaBWzWprJyzhvLVi9dg2WK3kFA+nid7vojf58dsNWOLseE0SAPkIqXk8O6jzPzrLQ7uPIIQ0ODC80KqK4X1Ekh6C5n5Mvh3gVoFETccYcsJbLZrIGuCQYw2YawicSAs7cIeXjRjGa5MV4gu3efxs2/LQf5csY0m7RoW+v6llLzz6HS+eWM+FquZgD9A1fMq88L8J4Kdj4x4/ONhTH/mc76bugBXlptmHRszZOKtpFQN/7l3HtCBGc99Gf6WFEHba09vkz5K6SlN4L4cyP1N/gR0Ihq4zwh1m9cirlxs2OzRYrfgc3sZUPt/CAEVaqTw+IzhEeVcm1dsN9TNepwe5r6z0DBw22JsEW8axcHmsDB04q3Ua1UHs8UU4onx1BcPMqr7C0hN6rrinMsEfAH2bzvEu4/NwBZjLbTxq6IqNLyoLltX7cTr0pf+fm8Ad7anWGb5qlnl/LYNIj4vrG0R1q+Nn1NTIPFN5Knh5BXuWBFJb+oafddcgqskYQdTU7B2CDvPjrW7DSWRUtPY+8f+IgP34lm/8O2UH/G5fcGCm71/7mdM3wm8umRMxNeZLWZuG9uf28b2L/T8ABWqp/DErPt5YcBrwUWUyWLi2dmPYo89t02ozmVKE7iTgdypWAYQ9ukXQtwF3AVQo0aNUg/uv44QgmfnPMbDnZ/B7/UTCGhITQMBh/ccCwa8A9sP83DnZ5i+a3JIgMzFne2O2GjWmWHcn9ERZ+eiq1uyat7aIg2mjPD7NCrWTCG5clLYc/Vb12Xcj0+yecV2Pp8wh9TDp0Ke9zi9+mqjECw2M39tORgM2rlITRLwB7DaLYbqEaEI6rWsfdrLfGFtBxVWgm8joIK5qZ7DNrcA66VI52cgPQh7L7D3Nsxv125aA6vDGtZ9RlEUqjcourz+q0lzwwJ/wB9g26qdnDiUariHURou6dGaL45N489ftmIym2h8Sf1/TSeZc5XSBO4TQK7DTQIGrVeklG8Db4OuKin16KJQ54KazDwwldXfryP9RCZ+r593H58RtkwP+AIs/Hgp1w2/Juwc9VrVMWxNZYuxYrFZuL7i7TgzXDS+pD5DJ94aNPt56L2hPNnzRbav2YWiKjmzWcV407EAlWuXp3bTmnjdXjYt24KU0PTShnzy/Fd8OeE7FJNCwBeI6NqXdSobi90cFphz8bi8IVWa+VFNCp0HdGDB9CUE8jUotsVYscVYefSj+4ocf3EQwpyj187/mADbVXlplULoOrAjH4/5HK/bG9ysNVlMVKpdoVgNbTNTswwfV00q2enOMgvcoBezGK3MovwzlCZwLwK6oqdLLgdeLdMRRQnDYjXTrpdetPHN698TMOhi43F5DQsopJSM7v1yuCWtIrDFWFk9f20wOG74+U9GtB/F1PWvULlORRRVISbBgRaQCEVisZupUKM8B7YdKnLMQlFY/cN6nrtxQvAxXc0gQlQNkXLziqoUasVamCqlRsNq3D/1bu548Wb2bzvEkb3HOLrnOBVrptCu90Vl4oVRFsQkxPDayueZNOQdNvz8J4qqcOl1F3PvG7cXa2Pykp6tmf3GfPwFVkQWu9mwmEpKCe65SOfHus7cdiXCMRihRDcZzzVKrOMWQljRg3YNYANFqEqiOu6yZctvO3ikyzNhS2R7rI0Hpw2l4w2XhDy+dtEmnu79Ulie3Gw1EwgEwjxCFEWh66COPDhtKE9f9zKrvl8bpigoFkJXfBSWpy4MRVWQmlbiNLtqVpny+0vBzvZlidROIbNeB/ePuvbe3lfvLSrCO6uXFE3TitWUOT/pJzK4p+XDZJzMxOvyoagKZquJkTNG0PbacI94Lf0ZcH3Fkf1+Ph5fkXXL4kmqoHDjyBF0vCE8Bx/ln6VMddxSSg/Q/bRHFaVYSOnRLT21TLC0oeFF53F+u4b8sWxLMIdrtpqpWKs87XqFf1m3rdppmOv1eXyYraawwK1pGj988DM1Gldj1ffrShe0ASQ5crvSoQU0PY8q9DRQsS8b0Pj2rR8ZMmFQiD/46SKlG3myT44Nb86KIWsy0rcWkTT1tM9fGqvVhJR43tk4gblvL+D3BRupWLM8vYddbehrLQMHwfUFxw5q/K9rfZxZKlpAcOIwvHLrmxzaeYKbzhKv7ihFE62cPIuRvo3I1NuAgO5KiAaOW/Bb7+frSXP5ftpP+H1+Lr+pPf0e621YtLFoxjImDXk7bMZtdVjwewMRKxwtNj3oFSyN/rtp1ul8Ni3dEtHK1Qir3ULTDo3xOD2kHkmjZZcL6D/yOkO5W3GRzq+QmWMMCm9suvWuuZHh684WpGsuMmMUbzyeyLyPyxHwh94orHYLnx99N6oUOYuIVk7+w0jpBektUS5RygAy9a4CfQsB1wzM1ku48ZFe3PhIr0LPkXYsHZPVZOjFrQUkbXq05Le568JypKB3pTlTJchCiGKZFKmqQpN2DYlNjOGXr1cV+/welzekWcPBnUf49q0fqd6gCoOe6ReWTioO0rc6QrWkAN8mOMsDN4puZbpxZUxY0AY9xbR/26G/zSEwyukRdQc8g0jNiZb+KPJoS+SxC9GOd0N6ixmAfGsxtH6VLqTz08KvKyXvPzmTAbWGMOGOKYZVhEJAq67NadX1gghjl9RsYlzOLFSBYlJQTQpJFRKoWr+SodxQMSko+W4aVoeFi69pSdtrLyS5ajnDG0p+NE1y5W2XU61+FZRCmiMXidT/7N96iJdvnczsyd+X/BxqLcBgU1MooIb3uTzrsFwIIpGK1XwYVXf6vX7KGUg3o5ydRAP3GUSeug9c89DbkQUgsAeZeivayb5oJwcgnV8iZYQcsvQSUXxdoMGDlBJXlgtN09MJK+es4auJc/G6fTgzXIYKDK/bx+zXv+fh9/4XTIvkxxZjpU331lgd4XpqGZDUb12XL469x6eH3+Hh9+41VGpofi04s1ZUhfNa1GHM7Ed5+quHmbV/KjUaVYv4FgESysdTqVYFrrilAyZz2SwOPU4P74+ahd9AmVMYwt4n2C8yDxWUJLCc/X4bQiiIch/Rd7gNqz3082C2mmjRuWmZygejnFmigfsMIf1/gXcV4bNmH/jWg28VMmMMMu0u47SBpSXG7bQculd4Dos//YX+Ne6hd7nB9E4azPQxn/PVa+GFGUZkpmWTkBLPoDH9sDqswco4W4yVWk1q0OaalhE3zWwOK7GJMQghOL9tA2556nosNjP2ODv22Ly+l7lvTQto7Fq/hzU/bAg+9+zsR/VuJAbBWzWrdL65PQA1G1dnyIRB+vljbboXymng9wVIPZxWotcINQVR7kPdjx0LYAZzS0S5T/42x7/TRZiq06z7bEa8NYD4cnZsMVbMVjMXX92KkZ+M+KeHF6UERDcnzxDSs0KfcUe0CM1BOBCJk/VKvAJorrmQ/jjgz/njAEszRNI0hDDx27y1PNt3fKjvssOKI85G2tHCfUYAut3aiYemDQXgj+Vb+PatH8lMzaLDDW25vH97zBYTA2oP5dhfoTVWthgrD00bSssrLuD3HzegmlRad2tG+olMNq/Yxu5N+5g9+QdDP5KCVrSapvHlxLm8/8QnaAGNgF/D6rCQkBLPm2vG4cpys+/P/VSuW4nE8vGs+XEDm5Zv4bspEVwWhF6ReGDroYgVnxa7hS+Pv4fNkbdKyNM4TwctR+McMxihhFeiysBxEGaEkpjv9V7AhBChNzopveDfA0o5hFqes4WAP8DRfceJKxcbNYs6S4luTv4TmOoVr0+hdCK9Kw0Dt2K/Bmk+H+n6CrRUhPVysHYMzvA+Gv1pmE7a4/Tg9/mx2MxFKkLyV+c1ad+IJu1DN9gO7jzMRVe34McPftY3FJEg4fKb2uN2euhX9W5Us4IW0PQiHoFeEt22vrE5oBCYLKEfOUVRuOGBHlzSozVzJs/n0O6jtOzclM4DLuWNe6exYvZqzFYTfm+Axm3r88zXj9C0Q6OIgbtJu4Y8/fUjjGj3BAe2h/detDosdLu1U0jQBpCZz4PzM4IeI9l/Id3fQspshAhVWuQGYCmlvmeR8TQE9gAWpOMGRNyjCGFBc34KmS/mXMCHtFyMSHwVocQbjv3vRDWpETvlRDn7iQbuM4RQyyPtPcH1Hca2rLlYQYTnFqV3LTLzFd0XWq2MiB2GsIXauB7eY9xqSlEE5SonkXb0VMQCGEVVwjxCpJSsnLOGb974nkO7DnPioJ5OCPgDmC1m6rWszYPThmAym7jzggfxur2hzqdS14dvXrHNUGYopWTDz3/iynZjj7GFPFetXmWGTrw1+P/pz37Oyjlr8Lp9wRvQ+sV/ct8lIxnx1t1YHcbFPS26NGXqgx9y/EC4jarFpnL1oArcObYSUnoRQk+5yMARcM5E34vIxQOBo0jnN4iYmwq8Dw8y86WcQJ8/JeUG5+dI7STYb4CM5wn53Xt/Q54agSj3XtjYokQpCdEc9xlExI+B2GGgVAJiAINcqFBCctagt8GSqYPBt0YvTfbvQJ56GM35WchxkaoDrXYrU35/idtfuJnaTWugGigyrA5LWFn0tJGf8MKASaxbtImje08Q8AX04pecgLx74z6O7z/JTzOXoxXS4cbn8Rv7cQPHD5xk9hvzwx7ftWEvK+as5thfxwGYM/mHsMIhqUn2/XmAR7s+G7EwaOmnK1jy2YqwoG62SK678xj3PPk9qutJ5PEuesAGfc9BGOXNXeBdGvaoPHW/QdDOxQ3uhcisNwm/YXvBuyrvulGilJJo4D6DCKGixN6OUmEpSqV1iHKzdD2tiMn5k4BIfDMs9ykzXyF0Kov+/8zxwYa0ALc93x9rgY06q8PKoDF9iU2Mofd9V/P6r8+TkBKPoub9qlWTQly5WNp0zzNIOnk4ja8mFr6p6c728POnv+DO9uAvojVZwYrMXLwuLz/NXBb8f0ZqJve1eZzh7UYxbuDrDG44nJdvm4wrM/IqxZuvs03YGJ1ezNZwlYzPK9i6zgJoemsx7RgyfZT+pJKCcQMEFZRQlz7pPwCeZRgH7RyEFQIR/FyECZn1NlraPWiZ40sVxKX0663vZPGLkqL8u4gG7r8RYWmGKL8ckfSBvsFYYYVhbtuwbRboAUfmbTqe37YBL8wfRcOL62F1WKl6XiVGvHUXve69OniM1W7l9V+fp2Xnpiiqrr1ufWULXlvxfIjEbvOKbZgthWfOhCIwWcxc0qM1ttMwasovHXzltjfZuX4vHqcHZ4YLn9vHks9WUqlOxRI3jrXaLXTse4lhQZFq0qheL//NUAPvL/rmobklKMmEfx3MiJgCntWBvRFm5/mQXrC0xTATKZ3g+hw8P0H2+8gTVyJ9fxT95tC7x2uZryKPtUYea4s81g7N+VWxXhvl30U0x/03I4QClmaFH6RWAf82gxebQIQqAJpe2ojXVz4P5CgjtKNILQ2h5BVTVKhRnoff78+3U5awbc0hap1fLSwHnVA+Xt98LASLzcIVAzvS6OJ6dOx7CT8bpCSKwmwz0+OeroDeumv1/PVhgVYP4s6crvEuQxtZoQhUVUE1q3icXuyxNs5rUZtBY/qx9bedbPl1e4iqxGyW9L4jzIFYP5dQoNyHyLSh4N+do9c2IxJeQJgKVBKa6oIsTGppB3svROxQpCe38XDuOFR0iWfu6/WKWpk+CpHyTSHn1JFZEyH7Q4IpGHkSMp5GKvEIW5ciXx/l30M0cJchUnrB/aPeTFapiHBcj1CLNsQviIgdhjz1IKHpEjs4BkZ0opPedcj0h4MmSBILmGqBrSeHtnzLfV1NeNwCn0dh3U+bmDP5B8b//Az1WtYBoEn7hsSXi8Od7Qkr2DFb9WazNzzUk8Zt6gMw+Ll+rFmwocSBu12vi+hyi+5E53F6Ipa+px/PYPruyXz+yhy+nDg3bEwWq5nn5z/Bvj8PcPJQKk3aN6Jll6YoisKYOY8y8Z63Wf7Vr0jNT5VaHka8fICqtfOPVQHLJcENSqFWRaTM1vX3MhtM9RBhBTcg1MpIWxdw/0RYOktJBsdtOY6BKqTMRma9Dd7loFYE73oMtfn+bUjpClOv5EdKHzjzBe0gbmTW69HA/R8jquMuI6R0IU/eBP69gBMwAyoiaYpxOqQINOeXkPmyPmMTZnAMQsQOD9MJg66KkCeujOClAaMH1+K3hfFILTT1UL91HSavGhf8/6FdRxjV40WO/3UCxaQgpaTLzR2o1aQGF17VnMq1KwLw19aD3NPioZI5BwroM6I794wflDduKbnG0d/wPIoi+Cb9I+wxNlbMWc3zN01EqAoyoKFJyaCn+0b0apFaFuDHc/hevFnriU0oeHOxgJKISP6sVDdWKX26vatzpv4zt7RExD2JMNcv9HXasbagGc36zYiK6wu1h5VaKvJYB0KVLzmIBJSKq0v2JqKc9UR13H8DMnu6vswOzsJ8gA+Z/iCU/6XE1XWKow/S3jsncMcYzv6C13Z+DpFK54F1y2LDgjbAzrV78Hp8WKxmpPRTubaDd/+YwP6tB8nOcFGvZW1Da9TXhr5ToqAtFEG3QZeFBG3Qdd22GBs+T3gnF5PFTMaJTOwxNtr2vJCZB6ayYvZqfB4/F13dQq+4LIAMHNNXHV49iFlUP5aEsMP0YpjyC9Ct5UuOEGZE3AMQ90DJXmi/EbKnETpTN4Ota9Ge3iJB719pVBtgKvyGEeXfRzRwlxXu7whXggDSDf7tpXKPE0LRv7BFEdiH4UwsB5tD4jEQaahmFUUVaJkT9WW49IIST/Vaj6A4ekc836ZlW4oxdt0B0OqwUrFmCkMn3Wp4XJP2DVk5J3xFZraaSK6Sl6ePS4ql2+BOEa8npYZM7Q+BgxhbBeRHKXXQPh1E7BCkf5uuShFmkAEwN9Blo0W9VqjIuIfCteHYEHEPnbExRzk7iapKygphM35capGfKyvMFwGR86NXDziBxRYazMxWlctubIfieg2y39PzuvhAOwkZo5HuRRHPZy2ikS9AbFIMF1/TkrtfvoXJq8dF9Hm+9dl+2GKsIbJvxaTg8/joU/42xt/xJhmpRdgGAHhX6mMvMmibwda56POdAYSwoCS9iUiZg0h4HpE8EyX5M8OyeiMUx42IxHF6Va6IBXNrRLkPEJYWZ3jkUc42ooG7jBCOfvpSNvRRXSGi1jrD1+4BajKRFlA333+cVh2zsNg0HLEBrHZJw4vq87/XBupB20AzLrNei3i9q+7oXKQla6VaFXju28e59Po2eoVlBGo3rcmkX8ZycffWJJSPD2qwc50NF05fyvC2T0Rs+BAksF+fwRqSO1YbKMmI2P8ZHiWlhnQvRjv1IFr640jvmckbC1NthO1KhLnohsBhr7VdiZIyF6XiWpTkTxCWlmdghFHOdqKbk2WElBoy4/EcG1dF92kWdkS5jxGmOmf++loaMmsyOGcDmejSMwHmFmA+H9w/cHC3wt7dbanadCB1mtZD822Dkz0inDEepZLx783j8jC610usW7QJzcAy1uqw0mfENaz8dg37cxoLN7iwLo9/PJyKNSMbLa38dg0vDJiEKzP0RmKPtfHIh/fSrkflfL4tHcDaKbh3IH1/IE/eTLjqwgaWFoAVLG0QjhuMjaOkRKY/oOurpUv/2QkbOAahlDSXHSVKGVDY5mQ0cJcx0r8LvGv1ajxr+zJpJFviMcgABP4CEY9QI7fr0rLehqxXjJ9U66CUDy9Nz8++LQdYMXs1M8d+hUTi8/oxW0yc364BW3/bSXZ6nspFURXKVU5k+q7JEb21Z4z9ko9GfxpyM0go56ffsKNcNcCJ3eFCXyQGQDjAdD6i3PtBSZ+Weit4fydvBWECtSIi5XtEEekq6fkNeepuA2WOFZEyF2Eq++bDUaIURlRV8jciTHX1Io1/cgxCBVPtog/UCrF+tV5a5MtrNqpGzUbV6HXv5exYORXpP0hC5TasWxbHH8tDqz+1gEZ2upNV89YZdiAH3WjKGmMNzrgdcQHe+GE7SeV9mINp9Zx0iHSC/w9wzQbHDQCIpKnIrKl6ZaL0gq0bIm54kUEbQAZn2gURug7b1N/guShR/hmigfs/jLC2RbpmGMwyLQj79cU6h/Tvw+rsR5MLXLqCRizB1j6eaTKFgqZafm+AI3uNHQ0B2va6kLce+hCPU/ciufKmk8Qn+fMF7YIXdyFdcxC5gVtYEHH3Qdx9xRp7CCLXBKygzFHRZ/dRopxFRDcn/8tY2oK5NaGKFDvYuyPMDYp1Cpn+EGhpOcFfA+kkucJJBj6cGnasalJocOF5Ec9ltpiZtGwELTsloKjQvH0WNkcRqbwyUuwI+7UYzmOEBOuZqUqUnp/RUgejnbgWLfN1pJZR9IuiRCE64/5PI4SApLfA/S3S+Q0Ikz57tXYLHiOlNy/9gA+sVyLihiGUJKSWDr7NQKiXiKr66NznJO+/WDnoQ2KxW6jfui6NL4lcLCK960mxDWbsR378Pi+KUkTRkrAjHDeW9u2HnspUExn/LGSMyvEqEYDUuxMpZd8hRst6E7Kn5qVn/LuQ7q8heXax5YFR/rtEA/d/HCFMYO+NsBsX3Mi0u/TN1twNP9enSO8SSJmHsRWqTkJ5Bz3vSOTnr9IwmW10u+0q+j3aO6Ljn67qeDiYtjGZIbImWwAWsF8P1rLTZCuOa5G2y8G7AjCDtW2x8uMlRWrpkDWFUGtYLwSOI50zEbF3FX2OwEGk8zMI7EdY2uqrpDNdLxDlrCEauKNERPo2gm8doTpvP2ip4J6HsF+HNDUA/5+EBnEVhQzuHrWYu0dpeo7YDMLaJ/LFtGMQCG81pqMAVv3aak2w90HYrjgjSg+hxIGtW9EHng6+P3IqJwu6DHrAswSKCNzS85t+Q8UP+PRiqey3IfmLs6ItWpQzT4kCt9CnSx8ADYBjwHVSFmKSEeXcxrc5r017fqQT6V2HsF+HSHwFebJfjoeGUw/S0kVIIJdO/Qbgng/27sbXElYizuCVqohy7+ueLYXIG88ZlHIYryaE7iJYAOldpxdE+XeAWjfH8je/AsYFgUPI7HcQcQ+eoUFHOZso6Yy7HWCSUrYRQvwMdAXmlfmoopwdqFVBqAbx1BasBhWmOlD+Z3DPRwYOAFqOZ3R26EukC5n9LtK7VnfRs3UPyR0LJRFpbgG+3wkNajZw9P936ahNDUGtDv5dhL5XK8IRasQlPSuQafcQXPVokVQ5XnB/D9HA/Z+gpKqSo8CknH9HrGMWQtwlhFgjhFhz/PjxUg8uyj+MpS0oSYT1yhQmRD4TKqE4EI7rUOKGISwXRuw3iX8buD5GZryg93z07w89beJ4UKvltHVzADawXi15tv4AAAuESURBVIqIGWR8vnMUIQQi6V09gGPTfUdEDMQ/jSjQZENmjsXQvMzwxFHZ4n+FQisnhRBvAhfke2iplHKkEKI3MBzoLGVEgwjgv1c5+W9DBo7mWKX+rj9gqoNIGBfRZ0NKH/LoxUC4VWsoCljaohToeC6lBt5VoB0CU1OEuV7RY5QaBA6AEotQyhXjXZ09SP8+0E6BuVGwAjQ/2pEGFLYJnIcd4h5HielX5mOM8s9Q6spJKeVQg5P1RA/aPYoK2lHOfYRaEVHuo5zmBL6QlmgFkdKPPDUc3Yu8KDTwrkBKLaQ5hBAKWNsUe3zS8zMyfSRoWYCGtLRCJL56zgRwYaoJ1CzkgCSQ4Zp4vTDIDkjdXMvWFeHoe4ZGGeVso6Sbk5WAh4ErpZTZRR0f5d9DcbTM0vkpeH4hVOaWmzYxmjUq+Z4vOdK3A5k2jJBUgnc1MvUORMq/pIluzB2Q9Tqhm5F2iLkXYWkC2lEwN0MUx+Igyr+Gkm5ODgIqAz/k6HHfk1K+V/hLovxncM0i3J1PEnQqDCknN4G1a4k7uYec2fkh4bN7v17M4tuKMDcs9bnPFkTM7UiZkbPhm0PMIETs7YZt7KL8NyhR4JZSjgPGFXlglGKjuRZA1jjdT1opr8+kHDeeVkD7x5CRUiRmXaGiHdaX9cIESiVEwlOnd73AfgxldUIF7QjwLwjcQiDiHkDGDoXAMVArRAttokQLcP5JpHsxpOfr5q4dg8wXkPgQMbf8o2MrFfaeBhWB6MqU5LkI3yq9jZupbk6H9dOcMVra5FR1Frie9ILp/NM791mGEDb4N0kio5wW0bXWP4jMmkC41MsFWa9zpn3SzwTCMVgPykFZmhWEA5E4AUVRENY2iJiBCGu7MlnmC0d/UOIJnX/YwXEjQo3csCFKlHOd6Iz7n8T/l/HjMkuvNhQxf+94ThOhOCD5c/AsQnp+A7UKwt4boYZ3ZC+b6yVA8jfIrCl65xolDuG4FSL4rvybkP6d+vv2bQbTeYjYIaVqhRbl3CQauAsgPSuRzpkgsxC2a8Dew1BfWyaYauSULxdAxJ6zxRRCmMF2JcJ25d9zPbV8Tq78NPPl5xB5bdo8gAaB3UjPEkh6G1ECKWWUc5doqiQfWtYbenmxZz54lyMzxyBTByIjbrqdHiL2AaDgRpMdYu87Nzcno/wtyIyx6OqdXDtdCbiRGc/8c4OK8rcSDdw5yMBxyHqLEDmbdIFvK7h/OCPXFLZOkDAe1BqAAKUixI9EORc3Jk8TKd1oWW+jHb8G7UQPtOyPztgN85zHt8n48cDu6M/sP0I0VZKLd1WO1WZBCxYn0rMQEcnV7jRR7FeA/Yozcu5zBSkDyNSB+k0yd7M28xWkZ5m+/D+LVx9S+pHZ08A5Q7/RWy9FxD2EUKucuYsqCaAZeAAJO9Gv9H+Df8WMW/p2oGU8h3ZqBNI1BxkWfItBRB9jBcS5UT59zuJZqssEQxQ2bv1m6tvwT42qWMj0hyBrsq4bl+ngnoc80RuppZ25izoGE9puDsAG9v5n9U0uStlxzgduzfUt8mQffcbjnodMfwp58iZkmEl9EVjaoJv1hz0R9YA4w0jf7wYNiwH8OTavZyfS/xe4FxF6w9H7bkrnrDN2XRFzOzj6osstY/W/7d0RcfefsWtGObs4p9dVUroh40lCvzhO8O9EOr9ExPQv9rmEMEO5D5Bpt+cEEQHSD/Gj/xWl02cz4v/t3V2IXHcZx/Hvb3Zmdjatm+6a1do0W5Fiay0t6haUJogtvvYFKggS+oaKF8YXvFDRIvRCrwQhKr0oFSyxIgpeSKWUqoGk0GA3YqoUa7AvsQg1S21iu5vuzuTx4j8xcXd2trs5s+dlfh9YmJyzM+f5c3aenPnP/zxP7a0ELVasaVczzfsXVfuvq3eyWfzjwA4r1dD4PcSFX4LOMRjZ3rf4l1VPqRM3S0/R+0PDApz6DawjcQMpQU8dTN1aYh4a70W1cq2lLqWxm+HV7/eoQ9WA1mA6rGdiZEe6hX+FRroRacBUG4fa1QM/jhVPuadKNMbyDuNn922sM7dUQ833odFdTtqbRLUJNPETqF1CmrtNHXY0+dPM6nJE+xix9DeyrESsxrug8U6gsXwH2nJ7ZscxW67cV9z1q0EXrexxqLF1TZNY/tS8Fqb2Q+d5YARGdmTyRVu0jxGv7IH2C6BuDeut30OjO8/7tQE08WPixD3pzk0i/Yez9buofmkmr2/WS6kTtySYfCAtJYuFbu5uw9idaPSDeYdn6yQJMqwrnZYZ3pFqVnM6/X3EPPHvPbDtYVTfcd7HUG0cTfwwfd8Si+6ybpui1IkbQPXLYeoALB5KLaCaM2jk4rzDqqS0zLJenjrQi4cgTrJyOm2JWPhFph3RpRa43KptktInbgCpDhl99LWVYvFJ4sS90Pk70CS2fAq96RuDq+GSldNz9O6804bOPzc7GrPMVCJx2+DE0lHi5c9ydqneKZj/JdGZQxN78wxtbY339F71oS1o9PrNj8csIyX5zGt5idfuB5bfiXoqlW7tvJRHSG+Y6tMwdkt39dEZo2n1Suum3OIyO1++4rb+2kfpueRSo9B5EUYKfIMMoPHvQPM6Yv4hOD0PY59AW+5G6nWXrFk5OHFbf41rujXDl005xOuZrgAZFKkGY7ehIWiuYMPDUyXWly74XLq6/j+tlAxrLr5llgcnbutL9Wk0+XNofoA0PzwFF+5B4/fmHZrZ0PJUia1JjSvR5IN5h2FmXU7cVgoRi8Rr+2DhV2nD2CfRBXcUfy252QA4cVvhRURaS750hP+tJ391L/H6fpjc5+YBNnQ2PMct6auSfptlMGY9LR6C9p9Z0SGn/Ze0z2zIbChxS7oMuDvbUMxWsfQniFMrt8dCqp1uNmQ2esW9F/hmloGYrao2BfQq4NTq7jMbLmsmbkn3SXr8nJ9ngSPA032e83lJs5Jmjx/v0Y3abD1aHwONrNyuOrQ+vvnxmOVMEb2qp/V5gvQzYJr0xeYVwLcj4ker/f7MzEzMzs6eV5BmsfQ08cqXofOvtGHkLeiiH6DGVfkGZjYgkg5HxEyvfeteVRIRu7sv+nbggX5J2ywralwF2x6Dzj9InWamvZrEhpaXA1pppA4503mHYZa7DSfuiHgeKHALbjOzanKtEjOzknHiNjMrGSduM7OSceI2MyuZda/jXvcBpOPACxt46jZgLuNwisZjrAaPsRqKNsbLIqLnrcEDT9wbJWl2tcXnVeExVoPHWA1lGqOnSszMSsaJ28ysZIqcuO/PO4BN4DFWg8dYDaUZY2HnuM3MrLciX3GbmVkPTtxmZiVT+MRd1d6WSh6UdEjSryVVqlKjpJakhyUdkbRPFazBWvVzeK6qvg/PkPR1SQclPSKpmXc8ayl04q54b8vrgXpEvB8YBz6SczxZux14MSKuBSaAD+cczyBU/RwClX8fIukdwLsjYhfwCHBpziGtqdCJm2r3tnyJND6AxTwDGZAbgMe6j38PfCjHWAal6ufwjCq/DwFuBCYkHQB2Ac/lHM+aCvPRTtJ9wDXnbLoE2Eef3pZl0mN8ByLiW5JuA5rAo/lENjBvBk50H58ktbmrlIg4ClDhc4ik3azRY7YCpoDjEXGrpCeAncDBnGPqqzCJOyK+cO6/u70tbwQ+Clwh6YtlbpO2fHwAkm4FvgLcEhGdzY9qoOaArd3HWylWDYjMVPwcAtxM6jFbiffhKk4Cz3QfPwtszzGWN6SwUyURsTsidgKfBg5X7Y9F0sXA14CbIuI/ecczAL/j7JzvDcD+HGMZiCE4h5V/H3YdBq7rPr6clLwLrbCJewjcBbwNeFTS45I+k3dAGXsI2C7pKeBlUiKvmqqfw6EQEU8Ac5KeBJ6JiD/kHdNafOekmVnJ+IrbzKxknLjNzErGidvMrGScuM3MSsaJ28ysZJy4zcxK5r+mYRe8J6kjZgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#合并\n",
    "X=np.vstack((x1,x2))\n",
    "y=np.hstack((y1,1-y2))\n",
    "# 绘制生成数据\n",
    "plt.scatter(X[:,0],X[:,1],c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Adaboost机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#设定弱分类器CART\n",
    "weakClassifier=DecisionTreeClassifier(max_depth=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AdaBoostClassifier(algorithm='SAMME',\n",
       "                   base_estimator=DecisionTreeClassifier(class_weight=None,\n",
       "                                                         criterion='gini',\n",
       "                                                         max_depth=2,\n",
       "                                                         max_features=None,\n",
       "                                                         max_leaf_nodes=None,\n",
       "                                                         min_impurity_decrease=0.0,\n",
       "                                                         min_impurity_split=None,\n",
       "                                                         min_samples_leaf=1,\n",
       "                                                         min_samples_split=2,\n",
       "                                                         min_weight_fraction_leaf=0.0,\n",
       "                                                         presort=False,\n",
       "                                                         random_state=None,\n",
       "                                                         splitter='best'),\n",
       "                   learning_rate=0.8, n_estimators=300, random_state=None)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#构建模型并进行训练\n",
    "clf=AdaBoostClassifier(base_estimator=weakClassifier,algorithm='SAMME',n_estimators=300,learning_rate=0.8)\n",
    "clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 模型预测\n",
    "y_=clf.predict(np.c_[x1_.ravel(),x2_.ravel()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 结果绘制\n",
    "#绘制分类效果\n",
    "x1_min=X[:,0].min()-1\n",
    "x1_max=X[:,0].max()+1\n",
    "x2_min=X[:,1].min()-1\n",
    "x2_max=X[:,1].max()+1\n",
    "x1_,x2_=np.meshgrid(np.arange(x1_min,x1_max,0.02),np.arange(x2_min,x2_max,0.02))\n",
    "y_=y_.reshape(x1_.shape)\n",
    "plt.contourf(x1_,x2_,y_,cmap=plt.cm.Paired)\n",
    "plt.scatter(X[:,0],X[:,1],c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
